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Leviafan [203]
1 year ago
6

6. Find the values of x and y. 30° 17

Mathematics
1 answer:
rewona [7]1 year ago
8 0

Answer:

X = 17√3

Y = 34

Step-by-step explanation:

TO calculate the values of X and y we use SOHCAHTOA.

<h3>Calculating for X</h3>

tan 30 = opposite/adjacent

tan30 = 17/X

Cross multiply

tan30 ×X = 17

Divide bothsides by tan30

<h3>Note: tan30= 1/√3</h3>

X = 17/1/√3

X=17√3

<h3 /><h3>X= 29.4</h3>

X = 29 ( approximately)

<h3>Calculating for y</h3>

sin30 =  \frac{Opposite}{Hypothenus}  \\  \\ sin30 =  \frac{17}{y}

<h3>Cross multiply</h3>

sin30 \times y = 17

<h3>Divide bothsides by sin30</h3>

\frac{sin30 \times y}{sin30}  =  \frac{17}{sin30}  \\  \\ y =  \frac{17}{0.5}  = 34 \\ y = 34

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Answer:

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